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Finding the Fourth Proportional to 31,805.10, 47,708.52 and 8,431.50

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Solution

The fourth proportional to 31,805.10, 47,708.52 and 8,431.50 is: 12,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.10 : 47,708.52 = 8,431.50 : x
  2. Step 2: Convert to fraction form
    31,805.10/47,708.52 = 8,431.50/x
  3. Step 3: Cross multiply
    31,805.10x = 47,708.52 × 8,431.50
  4. Step 4: Simplify right side
    31,805.10x = 402,254,386.38
  5. Step 5: Solve for x
    x = 402,254,386.38/31,805.10
  6. Step 6: Final answer
    x = 12,647.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.